Hilgert Structure and Geometry of Lie Groups (Springer 2012).pdf

Springer Monographs in Mathematics
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Joachim Hilgert r Karl-Hermann Neeb
Structure and
Geometry
of Lie Groups
Joachim Hilgert Karl-Hermann Neeb
Mathematics Institute Department of Mathematics
University of Paderborn Friedrich-Alexander Universität
Warburgerstr. 100 Erlangen-Nürnberg
33095 Paderborn Cauerstrasse 11
Germany 91054 Erlangen
******@- Germany
******@-
ISSN 1439-7382 Springer Monographs in Mathematics
ISBN 978-0-387-84793-1 e-ISBN 978-0-387-84794-8
DOI -0-387-84794-8
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2011942060
Mathematics Subject Classification (2010): 7Bxx, 22Exx, 22Fxx
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Preface
Nowadays there are plenty of textbooks on Lie groups to choose from, so we
feel we should explain why we decided to add another one to the row. Most
of the readily available books on Lie groups either aim at an elementary in-
troduction mostly restricted to matrix groups, or else they try to provide
the background on semisimple Lie groups needed in harmonic analysis and
unitary represe